For example /application/lazarus/componets/freetype/lib/x86/ etc /freetypelaz.o
Er, in your line above, do you intentionally have <space>etc<space> ? etc are important directories in a unix system. If that is a path to a file you are using and it has spaces like that, wow, that could well be your problem.
Anyway, it sounds to me like your Lazarus install is in a write protected location in some manner or another. I believe the easiest solution is for you to build Lazarus from source in a directory of your choice. That will involve downloading the source (I suggest as a zip), unzipping it somewhere and then, from the command line, in that directory, typing the command, make bigide.
A lot more explicit info here -
https://wiki.freepascal.org/Installing_Lazarus_on_macOS#Installing_non-release_versions_of_the_Lazarus_IDEI had written up some much better discussion about installing from source on the Mac (after I just did so on Monteray) but an admin reverted my change because "that is not the way Mac users think". I strongly suggest it is the way you need to think vonskie, please give it a try and provide some feed back !
Davo