It may take a while for your antidepressant to take effect, but benzodiazepines for anxiety often have immediate effects. I'm on long-term benzodiazepine treatment, and it slows me down considerably. Depending on your personal reaction to benzos and the dosage, it may not help with your efforts to get out of bed earlier.
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My dog

mastered the "fetch" command. He would communicate he wanted something, and I would fetch it.