Typo3: Get-Variable include in cache

We have a current issue with our Typo3, as we want to have a custom get-parameter "LP", which should lead to a new version of the page, which is cached. (Depending on the value of LP, we render something else on the page) Right now the parameter only works, and a new page is rendered if cache is disabled. Afterwards it keeps just the last page with the latest-get-parameter that was used without cache (e.g. if you are logged into the backend) But Typo3 should store a cached version for each different Get-Variable. It's not a solution to just no_cache the page, as it should be loading fast. Hence, similar like the L parameter, we also need to have LP to trigger new caches. We use Typo3 8.7.9 LTE and have the real_url extension running as well. This is a very small task if you are familiar with such kind of things. Also we need an Typo3-expert to help us with different other small things in the future, so this would be a first job, if we are happy with your work, we will have you plenty of other work to do. Please only apply if you have experience with Typo3 and know exactly what it is about to fix the problem, and also propose me a solution when you apply. You get server access as soon as we agreed on you get the Job.