You could try the following :
Define a custom hunk header suitable for your case as mentioned here
Try a different diff algorithm by passing it as a standalone configuration parameter to git add -p as mentioned here
git -c diff.algorithm=<algo-name> add -p
The available diff-algorithms as per git docs,
-diff-algorithm={patience|minimal|histogram|myers}
Choose a diff algorithm. The variants are as follows:
default, myers The basic greedy diff algorithm. Currently, this is the default.
minimal Spend extra time to make sure the smallest possible diff is produced.
patience Use "patience diff" algorithm when generating patches.
histogram This algorithm extends the patience algorithm to "support low-occurrence common elements".
- Use git-gui to manually select lines/hunks you wish to stage for commit as mentioned here and here (See the screenshot of the tool below)

From git docs,
diff.indentHeuristic
Set this option to true to enable experimental heuristics that shift diff hunk boundaries to make patches easier to read.
However, based on this
With Git 2.25 (Q1 2020), you don't even have to specify --indent-heuristic anymore (since it is the default for quite some times now).
, this parameter is set (to true) by default. So probably, try setting it to false if at all it helps.
git add -pis actually a perl script:git --exec-pathtells you where it lives; look in this directory forgit-add--interactive. You should be able to modify this to invokegit diffwith--anchored=<text>.