Long-short vertical spread? Horizontal vertical spread?

I'm an options noob but recently I have started playing with index options and have been wondering about this strategy.

Let's say I think that the market is going to tank in 3 months but not right away, I want an OTM put but it is too expensive so I buy a vertical spread.

Now, as I wait for the spread to get ITM I sell the same spread or with the short leg farther OTM in the weeklies.

Is there a name for this strategy?

Is there a better way to do it?

Any unintuitive risks assuming that I intend to hold until the weeklies expire?

edit: I meant vertical calendar spread