Instead, just spray each weed a little bit, right above where the leaves connect to the stem.
Yours is so much more.. tender though. Poor dandelions, but at least you made it personal!
Even if you do successfully get it out, it really is going to be more work than painting a weed killer on them.
https://images.wur.nl/digital/collection/coll13/id/676/rec/3
tl;dr targeted herbicide is a much less evolutionarily selected-for offense, as opposed to hand cultivation which mimics attacks plants have evolved to survive for eons
Anything there will die, and nothing will grow again for a long time. Although, it does spring back to life eventually. Usually once a year is sufficient.
> It's a non-selective herbicide in this context, it kills everything.
It is a non-selective herbicide, but it's not a systemic herbicide. It functions by interfering with photosynthesis, but since it is minimally absorbed via root systems, it must be applied directly to the foilage. You can spray it on the ground around a plant and that plant will happily ignore it. This is why the instructions are explicit about applying directly to the foilage during sunny days when the wind is light.
As a homeowner, I loved glyphosate. It was cheap, simple, effective, and could be applied in a selective manner. It's not the best choice for getting rid of broadleaf weeds in a lawn, but I used it all the time in my gardens to kill weeds and keep the bermudagrasses out.
I'm also a fan of glyphosphate. Nothing else works nearly as well. People who are critical of "chemicals" to control weeds have never had to deal with a weedy pavement before.
I looked up the product you mentioned and you're right -- it does look like deodorant! It's a gel that contains glyphosate and isopropylamine salt. Neat!
Sadly: no consumer model yet.
If you've got some dandelions or thistle, and it's not out of control, the nice safe way is to pull them up by hand or, if they're between pavement cracks, pour boiling water on them.
Broadleaf weeds growing in your lawn that aren't easily hand-pulled can be killed with a selective herbicide like 2,4-d. Tough underground vine-style weeds like creeping charlie or wild violet will need a selective called triclopyr. Crabgrass is best killed by a selective called quinclorac. Yellow nutsedge requires a selective called sulfrentrazone or another called halosulfuron.
Selectively kill the weed infestations as best you can, get rid of the bad ones before they go to seed, and focus on the health of your grass -- in most parts of your lawn, healthy grass will out-compete weeds.