Two specific episodes I remember watching as a kid.

1. Whorf and I think Riker are inside a kind of alternate dimension or trap. They’re on what appears to be the Enterprises’ bridge, but each time they walk through a door they’re back on the bridge. Like infinite bridges.

2. Picard and Wesley are flying in a shuttle somewhere. Almost the whole episode is the two of them flying in the shuttle and talking. This may have been a two parter.

Final Mission (S04E09)?

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That might be it, but my recollection is almost the whole episode was on the shuttle.

I think Goldberg74 is right about the Picard/Wesley episode being Final Mission.

I know I have seen #1, just trying to remember which one it was.

#2 is easy. Season 2 Episode 17, Samaritan Snare.
https://www.imdb.com/title/tt0708768/?ref_=ttep_ep17

Looking through some episode synopsis’ I wonder if the first one is Where Silence Has Lease.

That was my guess, although Worf and Riker being stuck in a "loop" (on a different Federation ship) is only part of it.

I think you're correct on that.

That’s definitely it! Thanks.

And that’s definitely it as well. I know what I’m watching tonight.

Okay if that was indeed the episode Mabuse was looking for, but that is not a description of "Samaritan Snare" --just saying.

My pleasure!

It is basically the ‘B’ story of the episode. Picard and Wesley in a shuttle while Riker and the Enterprise deal with the Pakleds.

Actually, the "B" story of the episode is Picard going to Starbase 515 to have his artificial heart replaced.
My point being that saying "Picard and Wesley travel on a shuttle together" is description of Samaritan Snare is like saying "A new female officer clashes with Riker" is a description of Best of Both Worlds.
Good for you that you recognized the episode, but it was not obvious.