How do you define contract conditions for PO/PM roles when working for dev agencies?

Long story short, I landed a mixed PM/PO/BA/Support role at a dev agency. Besides running my own business for couple years in the past, most of my career was working as a dev, so I saw this role as a perfect place for myself to transition into business role entirely.

The product is a niche B2B e-commerce solution that the client only uses a few times a year during specific events. The plan is for me to come in, stabilize the product over the next 3-4 months so it would perform well in upcoming events and basically convince the client to secure more funding to keep the project alive. I don’t mind the challenge, also the dev agency is working on 10+ other projects so I was told that worst case scenario I will be reassigned, however, the contract they sent me was a total shock.

First off, my start date already got pushed back twice, so I’m starting two weeks later than planned. At this point, I’ve already refused 2 other job offers and withdrawn from 3 other processes and also had to get a business license just to even see this contract, meaning I canceled my unemployment benefits, and now I’m not even sure I’ll be able to bill this agency for even half of full-time hours a month because the terms are so weird.

The entire contract is clearly a generic template meant for solo developer work. Even the agreed hourly rate is specifically defined without VAT, usually in B2B contracts hourly rate is defined with VAT and you either include it or not, depending on whether you as a business are a VAT payer or not. Some ongoing management duties are defined, but at the same time the contract says that every piece of work has to come from a pre-written specification, there’s no payment for “unfinished” work, and it includes a clause for unpaid corrections if results delivered are “faulty” or “with mistakes”.

This makes absolutely no sense for this role. I’m the one who is supposed to be creating the specs, driving initiatives, and dealing with stakeholders. My work shouldn’t be measured by raw task output – it needs to be based on dedicated hours and outcomes. We agreed that I will be logging all hours worked and billing the agency monthly, but obviously, more than half of my working hours won’t be tied to pre-written specs each time.

I replied politely asking them to adjust the contract to include proper PO/PM duties, or perhaps in case I’m overthinking this, at least let me talk to one of their existing PMs to find out how everything will actually work in practice compared to what’s on paper, because I understand that sometimes some terms are added to “calm” the client.

Has anyone else dealt with this? What does a standard PO/PM contract for a dev agency actually look like? I would really appreciate if someone could share a proper template, so I could negotiate better without being labelled as “difficult”.