chore: 🐝 Update SDK - Generate 0.12.1

[github-actions]

Important

Linting report available at: https://app.speakeasy.com/org/clerk/clerk/linting-report/c6a03e32ddfeaeaea875feb2916f9a38
OpenAPI Change report available at: https://app.speakeasy.com/org/clerk/clerk/changes-report/8f98091e3a35b890dabc45264248be24

SDK update

Versioning

Version Bump Type: [patch] - 🤖 (automated)

Csharp SDK Changes Detected:

• ClerkBackendApi.Machines.RotateSecretKey(): Added
• ClerkBackendApi.WaitlistEntries.Delete(): Added
• ClerkBackendApi.Commerce.ExtendSubscriptionItemFreeTrial(): Added
• ClerkBackendApi.Commerce.ListSubscriptionItems(): request Changed

OpenAPI Change Summary

├─┬Paths
│ ├──[+] path (7099:3)
│ ├──[+] path (4318:3)
│ ├──[+] path (6817:3)
│ └─┬/commerce/subscription_items
│   └─┬GET
│     ├──[+] parameters (7045:17)❌ 
│     └──[+] parameters (7039:17)❌ 
└─┬Components
  └──[+] schemas (11777:7)

Document Element	Total Changes	Breaking Changes
paths	5	2
components	1	0

CSHARP CHANGELOG

core: 3.12.2 - 2025-09-02

🐛 Bug Fixes

• enabled empty strings to be used as end cursor values in pagination (commit by @GorshkovIvan)

core: 3.12.1 - 2025-09-01

🔧 Chores

• added support for lowercase Bearer tokens in Authorization headers (commit by @GorshkovIvan)

globalSecurity: 2.83.8 - 2025-09-10

🔧 Chores

• support opting out of operation security hoisting (commit by @vishalg0wda)

openEnums: 0.1.1 - 2025-09-10

🐛 Bug Fixes

• resolve C# compilation error when open enums are used in discriminated unions (commit by @tristanspeakeasy)

Based on Speakeasy CLI 1.615.2