A "Codex recharge" is a ChatGPT plan
A so-called Codex recharge is not a separate subscription. Codex signs in with a ChatGPT account, so the recharge activates Plus or Pro on that account; the same account then counts on the new plan in ChatGPT, the Codex CLI, IDE extensions and the desktop app.
Before paying, be clear on who pays for the plan, who controls the account and who handles renewal and refunds. OpenAI's terms prohibit sharing login details or letting others use your account, and shared or transferred logins carry suspension risk; never give anyone, including us, your password, one-time code or recovery code.