The filter treated a slash in a listing entry's id as a gateway provider
prefix and matched only the tail. Self-hosted backends serve ids that carry
a slash of their own, so every "Qwen/Qwen2.5-0.5B-Instruct" style model was
dropped from the picker even when the policy named it exactly.
Try the id as written first and fall back to the tail, so both a prefixed
id and a self-hosted one resolve.
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