Good day to all!

Issue

My road bike has a BB386EVO bottom bracket standard with a 24mm internal diameter (I.D.) bearing set.
I’m utilising a 24mm spindle crankset so no issues there.

What I am seeking to accomplish is the replacement of the bottom bracket, but I’m not 100% the best way to remove the current bottom bracket.

My current bottom bracket is similar to these:
C-Bear (https://www.c-bear.com/en/products/bottom-bracket/bb386-shimano-rotor-race-face-fsa)
Token (https://www.tokenproducts.com/bottom-brackets/553-BB386PS)
Where the bearings have 24mm I.D.,

NOT using any reducers/adapters like this one from FSA below
(https://fairwheelbikes.com/fsa-bb386-evo-to-shimano-24mm-reducer/)

Tools

Park Tool BBT-90-3

(https://www.parktool.com/product/press-fit-bottom-bracket-bearing-tool-set-bbt-90-3)
The shaft is nominally 22mm and "fingers" are stated as 26mm O.D.. It is meant for bottom bracket standards dedicated to 24mm spindles.
I understand that the tool’s fingers are supposed to whack against the "lip" of the bottom bracket cup where the bearing’s outer race sits against for the preload, but because it is meant for 24mm spindles and the finger’s O.D. of 26mm, I’m not sure if it will reach the "lip" of my BB386EVO bottom bracket cup.

Shimano TL-BB13

(https://www.bike-components.de/en/Shimano/TL-BB13-Hollowtech-II-Bottom-Bracket-Tool-for-SM-BB92-p34454/)
Same concern as the Park Tool tool stated above, I’m not sure if the tool can reach the "lip" of my bottom bracket as this is designed for Hollowtech II bottom brackets (basically 41mm BB shell width).

Parameters

Price

I don’t wish to splurge $50+ on a new tool.
I’m Aliexpress friendly but all those I found doesn’t seem to be very suitable.
(https://www.aliexpress.com/wholesale?trafficChannel=main&d=y&CatId=0&SearchText=bottom+bracket+bowl&ltype=wholesale&SortType=total_tranpro_desc&groupsort=1&page=1)

Ease of repeatability

For future-proofing.

Worse comes to worst, I’ll just remove the bearings and use a screwdriver to whack the cups out.

But please give me some advice, the Feynmans of the bicycle world. Thank you all!