The text in the card saying “when you play me” when can you consider a card being played? From my hand i paid the card to play it and put in my base, is that consider playing the card? If there are more ways you play that card Can you give me a list when you can apply the text saying “when you play me”

Yes — playing a card from hand to your Base is playing it, and it will trigger "when you play me."

A card is considered "played" when it completes the entire play process and resolves onto the board (Rule 419.4.a) — moving it to the chain, paying costs, and finalizing. That's why the trigger fires after the unit is already on the board, and why your opponent can react to the trigger but not to the unit entering play (FAQ #5735).

Ways that count as "playing" a card:

1. Normal play from hand — to your Base or a battlefield you control (your exact case).
2. Playing from other zones — your Chosen Champion zone (Rule 419.1.a), or from your trash via abilities like Legion (e.g., Undying Legion).
3. Effects that play cards for you — e.g., Here to Help ("you may play a unit…"), Hidden spells like Guards!, or token-producing effects. Token units count as "playing a unit" too (Rules 182.1.a, 350.2).
4. Flipping a Hidden card face-up — that's a play and triggers it; hiding the card face-down does not count as playing it (Rule 737.1.c.1, FAQ #9093).

What does not count: moving a unit already on the board to another battlefield or Base, and being recalled or returned — only the act of playing from a non-board zone triggers it (FAQ #5095). Also, if a spell is countered before resolving, "when you play" effects never trigger (Rule 419.4.a.1).