I have lived in Lausanne for more than 3 years now, and I want to apply to: https://www.lausanne.ch/vie-pratique...demarches.html

I make a bit more than 8k per month so I am not in it for financial reasons, I can pay the full amount but I need the apartment provided by the commune because you have guarantee to stay there as long as possible.

Currently I am living in an apartment from a subtenant because of my refugee permit, it was difficult for me to get an apartment, I got rejected applications for 3 years. So, I want have more control because the subtenant could want her place back next year.

In the website it doesn't say you are not entailed to the offer if you have a job

If you thouroughly read the website you will find that your work contract is a document that needs to be submitted together with your application.

And

"Strictly speaking, there is no fixed income that should not be exceeded. There is a scale based on a simple principle: the higher the income, the more access to low-rent housing is restricted. Beyond a certain income, no apartment can correspond to the limits set by the scale and registration itself becomes unnecessary.

Some examples in figures, as an indication :

A single person with a net annual salary of CHF 35,000.– will have access to all accommodation units of max. 2 rooms.
With a net annual salary of CHF 55,000.–, this person will only have access to accommodation of max. 2 rooms for which the net rent is greater than CHF 730.–.
With a net annual salary of CHF 65,000.–, the limit will be a net rent that must be greater than CHF 990.–."