Haven’t done such a project personally but there have been several remodeling threads from folks who have. I think most remove the old flooring as it’s usually not glued down. One fellow cut around his obstructions and just used quarter round trim to finish. It might be easier to use self stick tiles over the existing flooring though. You could test the slide for problems before committing yourself to the install but I suspect it wouldn’t be a problem. The tolerances on most slides is hardly surgical. Good luck and please post updates and photos if you do it.
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