Pattern: adjective/noun + in + ing

everyone. I have a question regarding the usage of “in” in this pattern:

Adjective/noun + in + V-ing

Like in this sentence:

1. «Light takes such a long time in crossing the enormous distances and getting to us.»

But, I was wondering if it could work without “in”:

2. «Light takes such a long time crossing the enormous distances and getting to us.»

Or, even with infinitive:

3. «Light takes such a long time to cross the enormous distances and getting to us.»

I would like to know how to use this patten, in what context and what rules I should follow to use it correctly.

I’ve been searching on the internet, but there is little information about this topic and it’s not really helpful. Here are some other examples I found:

1. This NPO plays a central role in proposing environmental policies.

2. He’s taking a long time in making that pastry

Thanks you in advanced, I’d be really thankful if you help me understand it.