wild garlic coming through last years bark- can I pull the leaves off

in Plants
I started gardening in the first lockdown and spent hours pulling out wild garlic and then placed thick bark chips down to stop it coming through . Despite best intentions we did not always remove the small bulbs and now it is popping through again- some deeply entwined within my peonies . If I just pull off the green leaves and then put more bark down - will it help stop the wild garlic ? It is in our lawn which is mainly weeds and moss anyway -and I will be out on my hands and knees trying to get the bulbs out- but I need to know if my time is wasted if I just only pull out the leaves .. sorry it is driving me crazyyyyy
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"We don't stop playing because we grow old; we grow old because we stop playing." - George Bernard Shaw
Just a thought .... make sure you don't bury your peonies in any bark you use.
They can fail to flower if mulched too deeply.
Bee x