There are a lot of factors involved:
Transmit power.
Feed line losses
Antenna gain
Horizontal spacing between antennas
Vertical spacing between antennas (if one is mounted higher than the other)
Receiver design/filtering.
Since it would be hard to quantify all that without some test gear, it's best to just separate them as much as you can. Unless they are really far apart, you should expect some receiver desense (receiver will go deaf) when the other radio is transmitting.
Vertical separation will give you more isolation, so if you can put one at the top of the mast, and one below and stood off from the mast at least 1/4 wavelength, then you'll do a bit better.
Would be better to mount them in separate locations.
Filtering can be used on the iGate radio, but that can get a bit expensive and will require tuning. You could use properly tuned filters to block out everything outside 144.390MHz ± a few tens of KHz.
I think what I may do, since the only additional cost will be the tripod and mast, is to put the digipeater antenna at the end of the house over the garage. My main antenna (antenna for the actually talking radio) is going to be on a tripod at the apex of the roof directly over my shack. This works out perfect cause it keeps my coax run super short, so that’s why I wanted the 2 on the same mast. But if I get another tripod and mast I can put it at the end of the garage which will be about 3ft lower and about 20ft away. It should only add about another 15ft to my coax run so not much difference in the grand scheme of things and sounds like it will keep the 2 antennas from interfering with one another almost entirely.
Since you mentioned vertical spacing and another site I looked at mentioned vertical spacing as well, I do have one question about that. So the site that mentioned it said that a foot of vertical spacing is worth several feet of horizontal spacing. This is obviously due to the donut shape of the radiation pattern of omnidirectional antennas so it’s much easier to get out of that radiation pattern when you move vertically. However, most base 2m/70 cm antennas are about 5ft long. So assuming your reference point is both of them level with each other…a foot of drop still has 4ft of overlap on the vertical plane. So when talking about x-amount of feet vertical movement, do they mean once you have gotten the top of one antenna level or lower than the bottom of the other, or are they talking about from dead even with each other?
Also, the equipment will be a UV-50X2 with a DBJ-1 antenna for the digipeater. That radio runs about 70ish watts so it will probably be closer to 60 watts at the antenna. The other radio is a Yaesu FTM-300 with a Diamond X50 antenna, so running about 50 watts out the radio and roughly 40 watts at the antenna. All coax is going to be LMR-400 with the exception of about 3ft coming out of my ceiling and going to the shelf with the radios. That will likely be something a little more flexible. So I can get it routed neatly inside the house.