The wildcard expansion results in many names being passed to your command. Shell imagines you are trying to move your multiple files to *.sqlite3 directory.
You need to use a loop:
for nam in *sqlite3_done
do
newname=${nam%_done}
mv $nam $newname
done
The %_done says to remove the last occurrence of _done from the string.
If you still have spaces in the filenames then you need to quote the filenames.
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