feat: add United Ucard eligibility check with OTP + persistent session

Adds a full login/OTP/search/capture flow for United Ucard (OneHealthcareID
-> UHC Dental provider portal), mirroring the United SCO/DDMA pattern:
persistent Chrome profile, OTP polling, member eligibility search, and PDF
capture saved to the patient's Eligibility folder.

Also fixes a validation bug in the browser-safe patient schema where
email/address/city/zipCode/gender/phone were optional but not nullable,
rejecting patient records with null values on those fields during edits
(e.g. "Expected string, received null").

Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>

packages/db/usedSchemas/browser.ts

@@ -85,13 +85,13 @@ export const PatientUncheckedCreateInputObjectSchema = z.object({
   firstName: z.string(),
   lastName: z.string(),
   dateOfBirth: z.string(),
-  gender: z.string().optional(),
-  phone: z.string().optional(),
-  email: z.string().optional(),
-  address: z.string().optional(),
-  city: z.string().optional(),
-  state: z.string().optional(),
-  zipCode: z.string().optional(),
+  gender: z.string().optional().nullable(),
+  phone: z.string().optional().nullable(),
+  email: z.string().optional().nullable(),
+  address: z.string().optional().nullable(),
+  city: z.string().optional().nullable(),
+  state: z.string().optional().nullable(),
+  zipCode: z.string().optional().nullable(),
   insuranceProvider: z.string().optional().nullable(),
   insuranceId: z.string().optional().nullable(),
   groupNumber: z.string().optional().nullable(),