Add LOT model mapping management, UI, and first-seen tracking

migrations/0013_lot_model_mappings/down.sql

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+DROP TABLE IF EXISTS lot_model_mappings;
+DELETE FROM id_sequences WHERE entity_type = 'lot_model_mapping';

migrations/0013_lot_model_mappings/up.sql

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+CREATE TABLE IF NOT EXISTS lot_model_mappings (
+    id VARCHAR(16) PRIMARY KEY,
+    model VARCHAR(255) NOT NULL,
+    lot_id VARCHAR(16) NOT NULL,
+    created_at TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP,
+    updated_at TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP ON UPDATE CURRENT_TIMESTAMP,
+    CONSTRAINT fk_lot_model_mappings_lot
+        FOREIGN KEY (lot_id) REFERENCES lots(id)
+        ON DELETE CASCADE ON UPDATE CASCADE,
+    UNIQUE KEY uniq_lot_model_mappings_model (model),
+    INDEX idx_lot_model_mappings_lot (lot_id)
+);
+
+INSERT IGNORE INTO id_sequences (entity_type, next_value)
+VALUES ('lot_model_mapping', 1);

migrations/0014_backfill_lot_model_mappings/down.sql

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+DELETE FROM lot_model_mappings WHERE id LIKE 'LM-BF-%';

migrations/0014_backfill_lot_model_mappings/up.sql

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+SET @bf_row := 0;
+
+INSERT INTO lot_model_mappings (id, model, lot_id, created_at, updated_at)
+SELECT
+  CONCAT('LM-BF-', LPAD(@bf_row := @bf_row + 1, 7, '0')) AS id,
+  src.model,
+  src.lot_id,
+  CURRENT_TIMESTAMP,
+  CURRENT_TIMESTAMP
+FROM (
+  SELECT TRIM(model) AS model, MIN(lot_id) AS lot_id
+  FROM parts
+  WHERE lot_id IS NOT NULL
+    AND model IS NOT NULL
+    AND TRIM(model) <> ''
+  GROUP BY TRIM(model)
+) src
+LEFT JOIN lot_model_mappings m ON m.model = src.model
+WHERE m.id IS NULL;

migrations/0015_parts_first_seen_at/down.sql

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+ALTER TABLE parts
+    DROP COLUMN first_seen_at;

migrations/0015_parts_first_seen_at/up.sql

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+ALTER TABLE parts
+    ADD COLUMN first_seen_at TIMESTAMP NULL;
+
+UPDATE parts p
+JOIN (
+    SELECT part_id, MIN(observed_at) AS first_seen_at
+    FROM observations
+    GROUP BY part_id
+) o ON o.part_id = p.id
+SET p.first_seen_at = o.first_seen_at
+WHERE p.first_seen_at IS NULL;