G'day, A_Long_ways!
[Caution: The following observations are those of a social recluse and misfit; sift accordingly.]
You are correct - you are fighting two battles simultaneously:
- depression loneliness
- breakup loneliness
Though the second may be more present in your emotions, the first is the more enduring and fundamental.
Efforts invested in combating depression loneliness will pay greater long-term dividends and additionally contribute to the resolution of the breakup loneliness. The opposite approach would probably be less valuable and could even be counterproductive.
May you find better than what you're looking for when you're not looking for it.
__________________
My dog
mastered the "fetch" command. He would communicate he wanted something, and I would fetch it.