I can't wrap my head around the meaning of「って意味で」in the dialogue from a manga below. The speaker was explaining the reason why she wants a lover.
What is the role of「って」? Is it short for「という」? I don't understand what「意味で」means. What is the function of「で」here?
Does the second sentence mean something among the lines of "I think the meaning of supporting by side is the most certain"? I don't get it.