Cry Baby is a song about two people who keep getting knocked down and keep standing back up side by side. It opens mid-fight: someone grabs the singer by the collar, he takes a brutal punch, staggers, and ends up crouched shoulder to shoulder with his partner in the rain. The rain was forecast, and the other guy just grins and lies that "傷口が綺麗になる" (the wound will get clean). It is a funny, scrappy picture of friendship, and the singer even teases him: "冴えない冗談言うなよ" (don't make such lame jokes), the joke being so bad his eyes actually well up.
The chorus is where it hits. "何度も青アザだらけで" (covered in bruises again and again) they cry and cry, leaning their shaky hearts on each other's shoulders to fight back against a "腐り切ったバッドエンド" (a totally rotten bad ending). Note that バッドエンド is just the English "bad end" in katakana, the gamer word for the worst possible ending. Then the strangest, best line: "喜びよりも心地よい痛み" (a pain that feels better than joy). They click their tongues at their soaked clothes and laugh at each other's swollen faces, and on that downpour night they swear リベンジ (revenge, again English borrowed into Japanese, meaning a comeback more than cruelty).
The bridge turns inward. He knows he has to grab back and throw a counterpunch, or "お前の隣には立てない" (I can't stand next to you). He swears not to back down, "何度伸されても諦めない" (no matter how many times I get flattened, I won't give up), then admits he keeps failing and just repeats "どうして" (why?). My favourite moment is "傘はいらないから言葉を一つくれないか" (I don't need an umbrella, so won't you give me one word instead?). He doesn't want lukewarm kindness, he wants words that dig into a chest gone soft with complaints. Useful vocab here: 日和る (hiyoru) is slang for chickening out, and 伸される means getting knocked flat.