01 corolla, trying to diagnose this engine noise.

I’ve had this car since august, it had 52k miles, now 53.5k miles. I’ve changed the engine and transmission oil, along with the power steering and brake fluid and the A/C compressor (pulley seized). it has no fluid leaks at all, does not burn any oil. However, it does have 3 check engine codes, all for EVAP leaks which I have not diagnosed the source of yet, my bet is the purge vent valve.

The noise: has always happened, nothing has deadened it. At idle it is most noticeable, but still present at higher RPMS, it makes a whining screech, similar to a leaking air compressor hose fitting. When I put it into drive or reverse, when the rpm go to ~1100 it makes a low growling noise, as if bogged down, this seems to go away when it gets warm. I checked all of the exhaust piping and saw no issues, but the noise doesn’t originate from there unless it’s at the manifold, but that seems to be in good shape.
The belt being on or off makes no difference for any of these noises, I thought it might of been the alternator.
It is worst when cold, but always present. I found I could noticeably reduce the loudness of the whine by holding the intake manifold tightly, not a huge amount but definitely noticeable.

My next plan is to pull all the spark plugs to see if there are signs of problems.

Here is the video, which I feel captured the noise very well, although I have no way good way to capture the growling at ~1100 rpm.