Update:
The issue has been solved again, hopefully permanently.
This was the "tbd" fix for my issue, in case someone else comes across it:
Note: If the client seems to freeze after it is about to finish loading, it may be because of acre2 (if this has never been an issue before).
Under the ACRE2 mod folder in the arma3 directory "steamapps/common/arma3/@acre2/" you will see a series of .dll files, all of which start with "acre" or "ACRE2Arma". Deleted everything from this folder, and left them in the recycling bin for the time being. Simply moving them to a folder on the desktop would do as well.
Ensure the clients I am running are either BOTH ran as administrator, or not ran as administrator.
Do NOT run teamspeak just yet.
Run Arma3, get into a server, let the game load. Make sure all mods including acre2 are included.
Once in the game, run teamspeak, get into a channel you want, etc.
Restore the files back into the place they belonged.
Go into teamspeak addons. Disable, refresh, and re-enable the mod.
If you go back into the game, it should say something similar to "ACRE2 has initialized through a lost portal" or something. You'll know when you see it.
That's pretty much it.
I have yet to have any more issues regarding this, hopefully it stays that way. I've tested running the game with teamspeak off, then starting it after the game has loaded. I have tried loading the game with both teamspeak and arma3 loaded. I pretty much stressed the test and have had 0 issues so far. Again: Hopefully, it stays this way.
On a side note: This issue could have something to do with my tobii eye tracker, or any other software that I have on the side. If the issue continues, that will be my next test.