How to pre clean a very dirty LP before Ultrasound Machine?

A folded-square of Bounty and some Windex (or generic glass cleaner) applied in a spiral motion is enough to clean most LPs before a thorough spray rinse with distilled water - followed by air-drying in a rack. And a new, clean inner-sleeve, of course!

Why would you wipe them first?  Your liable to damage them grinding more crap in the grooves. Just stick them in the US

Agree with @analogluvr --if you are in NY you should be able to source distilled water cheaply at a grocery in 1 gallon jugs. If you don’t have a vacuum RCM, you can manually pre-clean. Tap water is filled with minerals and you are adding contaminants. I would avoid.
I use a variety of cleaning methods including vacuum and ultrasonic, and for used records, always pre-clean, but that’s me. Sometimes, it is necessary because the ultrasonic alone doesn’t do the job. And you’ll pollute the bath pretty quickly unless you’ve set up a filtering system, something that’s been discussed here and elsewhere at length.
I like AIVS No. 15 as a stronger cleaner but it requires some agitation and you don’t want to be scrubbing a dirty record. So, I’ll often clean to try to get most of the particulate matter off, using a mild cleaner - i like the Hannl (which Syntax here turned me onto) but any decent record cleaning fluid will do. Then I do the more rigorous cleaning with the AIVS No. 15 if warranted. (Those Disc Doctor or MoFi applicators work pretty well for this, better than a brush in my estimation, for the more vigorous agitation, though they require pre-wetting which uses more fluid).
You might be able to do US only even with dirty records if you DIY a filtration system for your bath. But, if mold, I’m not so sure. I basically avoid moldy records. I know that some have used Sporicidin for mold remediation.
There’s no ’one way’ to do this- but mold takes it to another level and @slaw’s suggestion of steaming might help here.
It’s a process you can and should refine as you go, to see what works best for you. I don’t use one method or set of methods for every record, but vary the methods employed based on condition of the record and playback. Sometimes, I’ll work a particular record multiple times. Sometimes, it’s just not going to get improved past a certain point, and requires you to replace if you care enough about the record.
Good luck.

@slaw, I feel your pain. Only "kind of" sorry? ;-)

$ 9 water is final rinse on vacuum machine, not ultra sonic, I found steam clean works well for mold. I have a shop vac with pvc pipe I cut slit with drimel put mofi cleaning pad on it (DIY wand) put album on old broken turntable with cork mat and then steam and vacuum for nasty dirty mold albums. I did 90 nasty albums few months ago, I found this method goes pretty fast. I don't want to put these albums on my machine or its wand. Just a warning your house will smell like mold may want to go outside.