On paper my university have claim anything on it property (for example: you where programming using bench near building...). But in practice I would say depends, can you wipe your laptop (in my universality, you need request os)? If no, i do not touch anything outside his designated purpose, because otherwise everything is visible what you doing. Alternative, investigate from which budget bucket came - if it money from government for education purposes (there are multiple fund buckets), rules maybe can be more lax and etc.
From IP side, it much more complex. In my university there are numerous start-ups which got IP waivers - you can ask organization IP lawyer about your problem - but i bet his/her answer will be something along lines: need faculty head approval or something like that (obvious, decision is influenced by how much worth they see). But even with waivers and if startup is lucky enough there is chance that somebody will be 'bright' enough to try sue you on that waiver even it lost cause from beginning.
From IP side, it much more complex. In my university there are numerous start-ups which got IP waivers - you can ask organization IP lawyer about your problem - but i bet his/her answer will be something along lines: need faculty head approval or something like that (obvious, decision is influenced by how much worth they see). But even with waivers and if startup is lucky enough there is chance that somebody will be 'bright' enough to try sue you on that waiver even it lost cause from beginning.