It is "possible" to find a bot at the Flea Market with skills without using the dump.
If they are missing a part, they're cheaper so all the better (and at the start, maybe necessary to also make rent).
Without luck and the dump, or luck and a skilled Flea Market buy?
You're going to be training low skill (C is needed for actual profit over buy cost to start) sexbots for the RoboClub for a few weeks...
And you might need to use the free "don't pay your debt interest" option to make rent.
Selling a D skill bot at the RoboClub is failure, but I've it done to avoid missing a rent payment... Feels Bad Man.
Missing your rent is instant death, skipping your debt payment is permitted (once).
This info and knowing your expected income between the two days can be vital, you may need to skip a payment you "could" have made to avoid disaster.
And your part price fix for the BBS buying and selling parts (which I 100% support) made this harder. Justifiably so IMO.
If you min-max'd the Ebay buying and selling of parts (especially B class) previously, you could make just about enough in a week to cover rent and interest before the change.
That was a bit too much income from that process to be entirely reasonable (if handy and almost necessary to do for my start).
My last start after the change I started Hardcore with skills. Easy mode.

Got a Techiev2 missing legs for 8-9K and enough F class parts to swap out the busted parts from the BBS?
Train to D/C electrical/Tech, and I made enough to avoid the financial disaster before the end of week 1.
The real struggle of no skills surprisingly isn't the "you can't train them" it's the "you can't even repair them to sell them when you find them trained".
Replacing any missing or seriously damaged parts (even with F class parts) for the non-mission-critical parts can save you a day of trying to repair that Ecoskin with 6 tears with your pitiful F skill.
(getting to 100% for BBS sale on anything will be a struggle regardless until you skill up)
Once I get a tiny nest egg of safety, I spend several days having Earl at the Diner make me at least minimally useful for the job I am supposed to be good enough to be doing.
Anyhow, I love the struggle of the early game; so I make it harder to give myself a longer start.