feat(farm): bulk remove plants by rarity

[kaajjaak]

Summary

Adds a one-click way to remove all live plants of a given rarity from the farm, instead of firing one request per plot.

Server

New removeByRarity(userId, rarity) in the shared lib/pet/farmService.ts, alongside the existing waterAll/plantAll/harvestAll:

• A single SQL CTE uproots every live, planted plot of the target rarity under FOR UPDATE and captures each plot's pre-clear gold_invested, so the 50% refund is summed from exactly the rows that were cleared — no read-then-write window, no refund drift if the farm is mutated concurrently.
• Clear + gold credit + ledger row all commit in one transaction (all-or-nothing).
• Dead plants are excluded, matching single-plot Remove/uprootPlot (those must be Cleared).
• Validates rarity → PetServiceError(400) on bad input.

Wired into both transports so they can't drift:

• pages/api/pet/farm.ts (web / NextAuth)
• pages/api/anki/pet/farm.ts (Anki / bearer)

via action: "removeByRarity" with a rarity body field.

UI

New components/pet/farm/RemoveByRarityPanel.tsx + a "Remove by Rarity" toolbar button on /pet/farm (shown only when live plants exist):

• Lists each rarity present with its count and estimated refund (computed exactly like the server).
• Two-step confirm per rarity, since the action is destructive and irreversible.
• Reuses the existing PixelButton/PixelBadge/GoldDisplay primitives and the danger ink.

Testing

• tsc --noEmit passes (0 errors).
• Economy logic stays server-authoritative and shares the same validated path as the rest of the farm.

[vercel]

@kaajjaak is attempting to deploy a commit to the Ari Horesh's projects Team on Vercel.

A member of the Team first needs to authorize it.