There's definitely something to this! It almost reads like a bit of a nursery rhyme, and I find that incredibly endearing and fun. I do think it could benefit from a few tweaks, though.
None of the content itself feels off; it's just some of the syntax choices, in my opinion. The first stanza is really solid, which sets the stage for each following one. The first hiccup I find is line 7 (The game I play, I say, you can too if you dare), where I think it's just a bit too wordy. You jump from quick 8-syllable lines to a massive 12-syllable line that doesn't say as much as I'd expect from a change like that.
Following that, I like the internal rhyme of board and bored, but I'm not a fan of the comma there. I think switching to an em dash would have a better effect: "So I'll arrange the board — don't be bored — "
Lastly, I like the end stanza returning to the first and the change-up in the poem's last line, but something about it just doesn't work for me. I tried reading it aloud and something just feels off. I'm afraid I don't have any productive suggestions about it, but it could potentially use a bit of retooling.
I think you made good use of a varied rhyme scheme here, too. That is always pleasant to the ear.