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Good morning, I am Dr Ruff, thank you for contacting us today
I am sorry to hear of this. Lithium is useful in mood instability, so rarely used in depression. You should try two of the same drug class to see if there is any benefit. So another SSRI would be reasonable to try. Lithium is a difficult drug due to regular blood monitoring of it as it becomes toxic easily due to its low therapeutic range.
I would consider trying another SSRI such as Vortioxetine which is one of the newer ones.
If this fails, you should arrange a psychiatric medication review for support with this. Only they can start Lithium if it was to be indicated.