Word for a modified version of a quote

Allow me to explain: There is a famous quote from the movie shining

"All work and no play makes Jack a dull boy"

I can also paraphrase it: Jack was dull because he didn't play enough.

My question is, what if I intentionally modify the original quote and turn it into the following?

All work and no play makes Pouya a dull boy

This is neither a quote nor a paraphrase. Is there any word for these kinds of phrases?

A snowclone is a well-known phrase with "blanks" that can be filled in. For example:

• "_____ is the new _____"
• "_____ is my middle name"
• "The _____ to end all _____"

"All work and no play makes Jack a dull boy" is definitely a well-known phrase, so it seems "All work and no play makes _____ a dull boy" qualifies as a snowclone.