Welcome to the forum.
As you haven't been here before, you won't be aware the
forums are littered with posts from people with various problems
arising from running the project across a network. Adobe advise
against it. If a lag is the only problem you are lucky.
Move the project to your hard disk. If backing up is the
argument for having the project on a network, zip up your project
at the end of each day and put the zip on the network.
Help others by clicking Correct Answer if the question is answered. Found the answer elsewhere? Share it here. "Upvote" is for useful posts.