Help with weed identification

Help with weed identification


...and hopefully removal! First time posting here as getting desperate...

This weed has slowly been spreading across my flowerbeds from one corner of the garden and now threatening to spread into the lawn. It's got very shallow surface roots and there's so much and it grows in one patch so quickly, normal weedkillers aren't helping much. I'd appreciate any advice for getting rid of this as I've just found it appear in another flower bed across the garden! my best guess at the moment is creeping wood sorrel, but it doesn't look good for hope of removal then...

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New Houseplants

New Houseplants

pesky pole, please help!

pesky pole, please help!

Plants from the upper garden…  (and ID help ?)

Plants from the upper garden… (and ID help ?)

room

room

Hello hello♥

Hello hello♥

Please tell me what this plant is?

Please tell me what this plant is?