connected set in the complex plane

I am trying to make the following diagram, with a domain

take a screenshot, because I don’t know how to put the code

I have done this in matcha, but I want to place the domain a little more topological.

tikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt        

begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
%uncomment if require: path (0,349); %set diagram left start at 0, and has height of 349

%Straight Lines [id:da6992700303297221] 
draw    (78.11,181.02) -- (189.11,174.57) ;
%Shape: Circle [id:dp6642840789302853] 
draw  [dash pattern={on 4.5pt off 4.5pt}] (30.69,183.54) .. controls (29.29,157.35) and (49.4,134.99) .. (75.59,133.6) .. controls (101.78,132.21) and (124.13,152.32) .. (125.52,178.5) .. controls (126.92,204.69) and (106.81,227.05) .. (80.62,228.44) .. controls (54.43,229.83) and (32.08,209.73) .. (30.69,183.54) -- cycle ;
%Shape: Arc [id:dp6495481894460198] 
draw  [draw opacity=0][dash pattern={on 4.5pt off 4.5pt}] (103.01,139.14) .. controls (108.71,135.78) and (115.23,133.65) .. (122.26,133.14) .. controls (146.89,131.37) and (168.33,150.24) .. (170.13,175.29) .. controls (171.93,200.35) and (153.43,222.09) .. (128.79,223.87) .. controls (120.88,224.44) and (113.3,222.88) .. (106.6,219.67) -- (125.52,178.5) -- cycle ; draw  [dash pattern={on 4.5pt off 4.5pt}] (103.01,139.14) .. controls (108.71,135.78) and (115.23,133.65) .. (122.26,133.14) .. controls (146.89,131.37) and (168.33,150.24) .. (170.13,175.29) .. controls (171.93,200.35) and (153.43,222.09) .. (128.79,223.87) .. controls (120.88,224.44) and (113.3,222.88) .. (106.6,219.67) ;
%Shape: Arc [id:dp028167613747934084] 
draw  [draw opacity=0][dash pattern={on 4.5pt off 4.5pt}] (146.01,137.14) .. controls (151.71,133.78) and (158.23,131.65) .. (165.26,131.14) .. controls (189.89,129.37) and (211.33,148.24) .. (213.13,173.29) .. controls (214.93,198.35) and (196.43,220.09) .. (171.79,221.87) .. controls (163.88,222.44) and (156.3,220.88) .. (149.6,217.67) -- (168.52,176.5) -- cycle ; draw  [dash pattern={on 4.5pt off 4.5pt}] (146.01,137.14) .. controls (151.71,133.78) and (158.23,131.65) .. (165.26,131.14) .. controls (189.89,129.37) and (211.33,148.24) .. (213.13,173.29) .. controls (214.93,198.35) and (196.43,220.09) .. (171.79,221.87) .. controls (163.88,222.44) and (156.3,220.88) .. (149.6,217.67) ;
%Straight Lines [id:da3136039392760601] 
draw    (263.6,134.83) -- (424.11,53.02) ;
%Shape: Circle [id:dp1828616154616911] 
draw  [dash pattern={on 4.5pt off 4.5pt}] (376.69,55.54) .. controls (375.29,29.35) and (395.4,6.99) .. (421.59,5.6) .. controls (447.78,4.21) and (470.13,24.32) .. (471.52,50.5) .. controls (472.92,76.69) and (452.81,99.05) .. (426.62,100.44) .. controls (400.43,101.83) and (378.08,81.73) .. (376.69,55.54) -- cycle ;
%Shape: Arc [id:dp6507059531688513] 
draw  [draw opacity=0][dash pattern={on 4.5pt off 4.5pt}] (426.62,100.46) .. controls (423.63,106.36) and (419.27,111.67) .. (413.63,115.88) .. controls (393.82,130.63) and (365.6,126.27) .. (350.59,106.13) .. controls (335.58,85.98) and (339.47,57.69) .. (359.28,42.93) .. controls (365.64,38.2) and (372.86,35.43) .. (380.24,34.52) -- (386.45,79.41) -- cycle ; draw  [dash pattern={on 4.5pt off 4.5pt}] (426.62,100.46) .. controls (423.63,106.36) and (419.27,111.67) .. (413.63,115.88) .. controls (393.82,130.63) and (365.6,126.27) .. (350.59,106.13) .. controls (335.58,85.98) and (339.47,57.69) .. (359.28,42.93) .. controls (365.64,38.2) and (372.86,35.43) .. (380.24,34.52) ;
%Shape: Polygon Curved [id:ds43359789094645995] 
draw   (15.6,52.83) .. controls (37.19,56.66) and (448.6,-23.17) .. (471.6,6.83) .. controls (494.6,36.83) and (480.6,241.83) .. (461.6,245.83) .. controls (442.6,249.83) and (-14.4,311.83) .. (14.6,270.83) .. controls (43.6,229.83) and (-6,49) .. (15.6,52.83) -- cycle ;
%Straight Lines [id:da11792787884022937] 
draw    (233.6,125.83) -- (263.6,134.83) ;
%Straight Lines [id:da782866538959825] 
draw    (189.11,174.57) -- (233.6,125.83) ;
%Straight Lines [id:da11834899062732096] 
draw  [dash pattern={on 0.84pt off 2.51pt}]  (207.6,26.83) -- (233.6,125.83) ;

% Text Node
draw (75.49,177) node [anchor=north] [inner sep=0.75pt]   [align=left] {$displaystyle z_{0}$};
% Text Node
draw (105,177) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle z_{1}$};
% Text Node
draw (135.61,180.8) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle z_{2}$};
% Text Node
draw (170.52,179.5) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle z_{3}$};
% Text Node
draw (243,165) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle L$};
% Text Node
draw (69,170) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (106,169) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (131,168) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (179,166) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (412,45) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (383.69,59.54) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle smblkcircle $};
% Text Node
draw (393.52,65.5) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle z_{n-1}$};
% Text Node
draw (426.11,56.02) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle z_{n}$};
% Text Node
draw (68,17) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle D$};
% Text Node
draw (225,59) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle d$};
% Text Node
draw (64.52,135.69) node [anchor=north west][inner sep=0.75pt]  [rotate=-1.84,xslant=0.14] [align=left] {$displaystyle N_{0}$};
% Text Node
draw (119.52,136.69) node [anchor=north west][inner sep=0.75pt]  [rotate=-1.84,xslant=0.14] [align=left] {$displaystyle N_{1}$};
% Text Node
draw (166.52,136.69) node [anchor=north west][inner sep=0.75pt]  [rotate=-1.84,xslant=0.14] [align=left] {$displaystyle N_{3}$};
% Text Node
draw (349.52,54.69) node [anchor=north west][inner sep=0.75pt]  [rotate=-1.84,xslant=0.14] [align=left] {$displaystyle N_{n-1}$};
% Text Node
draw (403.52,11.69) node [anchor=north west][inner sep=0.75pt]  [rotate=-1.84,xslant=0.14] [align=left] {$displaystyle N_{ begin{array}{{>{displaystyle}l}}
n
end{array}}$};
% Text Node
draw (426.11,39.02) node [anchor=north west][inner sep=0.75pt]   [align=left] {$displaystyle P$};


end{tikzpicture}