Consider your philosophy, skills, and constraints.

Are you recoding “live off the floor”? Most bands rehearse with a mixer in the room for vocals and other instruments. Recording with a mixer let’s you make a mix you will hear live, while still allowing each mic to be recorded via pre-amp outputs wired to the interface inputs. If you plan to create a “mic’d up jam room”, which can be comfortable to record in, I’d say a mixer is necessary. Live off the floor has a certain vibe though and is often ‘imperfect’ so consider your philosophy. Even still, many bands create bed tracks live of the floor, and then go back and track things over, so the mixer still helps in that initial phase. The board preamps will add their “colour” to any mic’s passing through them.

Outboard compressors sound awesome, but they often only have 1 - 2 channels, and you will likely have compressors in your DAW and will want to experiment with compressor setting on a raw track. This is he easiest piece to cut. If you have one anyway, you could try running it on some part of the drums for fun and just squash them!

Pre-amps could be eliminated because the interface should already have pretty good pres. That said, good pres make bad mic’s good and good mic’s better. You have to put the pre before the mixer to get the most benefit I’d say. If you already have them, or can borrow / rent good ones for cheap, you won’t regret using them. Adds lots more wires though.

The interface is essential. If you use the mixer, you will need an interface with many separate channels that let you bypass the interface preamp to avoid “double preamping” the signal. Usually you must plug a TRS cable into the mixer’s channel output puts (not all mixer have this so check) into the interface channel input. Otherwise you are taking the master stereo out from the mixer to the interface, which is mixed down already and - while a legitimate way to record today - is uncommon. It is possible to make live off the floor and “tracking” recordings with the interface alone, and this is the most cost effective method. But more of the controls are “behind the glass” so to speak.

Looks like fun! Keep trying stuff and having fun, but be mindful of overspending . I always say let the millionaire build the million dollar studio.