Your "Silver Anouk" appears to be a lavender tree form (standard), not the typical ground-cover perennial. This is a specialty nursery product—likely grown for single-season display rather than long-term survival.
For regular lavender, your deadheading was correct. For tree forms, the woody structure is permanent—don't cut into old wood. The buds you see may rebloom, but the plant's long-term viability is questionable due to the inappropriate soil and form.
This appears to be a "florist quality" plant meant for temporary enjoyment. For permanent lavender, choose hardy varieties planted in-ground or in proper containers with gritty, alkaline soil.
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