Rent or continue living with parents

So we are currently living with my partners parents and saving for a mortgage. We also have a 3 month old baby. Her parents give us a hand with baba, which we appreciate but it obviously is quite challenging to be under their roof at times.

Whenever my partner decides to go back to work from mat leave, she would have to complete 6 months further probation. I am on a fixed term contract and once the project I am on is complete, I have no guarantee of being kept on in my role. Due to this, we are not sure how long we will need to wait until we are eligible for a mortgage loan, even though we have our deposit saved already, and then some.

We've just been made aware of the possibility to rent a property that would cost max 1000 euro. We currently contribute 350 to household expenses with her parents. This property would also be close to my partners job.

Do we continue to live with the in-laws and save as much as possible, knowing we may not have a house for up to 2+ years possibly? Or would having our own space as a family, regardless of the increase in cost, be worth it? Especially when you have decent savings for a mortgage deposit already saved.