Update first-party Pulumi dependencies (#760)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
| [github.com/pulumi/esc](https://redirect.github.com/pulumi/esc) |
indirect | minor | `v0.21.0` -> `v0.22.0` |
|
[github.com/pulumi/pulumi/pkg/v3](https://redirect.github.com/pulumi/pulumi)
| require | minor | `v3.219.0` -> `v3.220.0` |

---

### Release Notes

<details>
<summary>pulumi/esc (github.com/pulumi/esc)</summary>

###
[`v0.22.0`](https://redirect.github.com/pulumi/esc/releases/tag/v0.22.0)

[Compare
Source](https://redirect.github.com/pulumi/esc/compare/v0.21.0...v0.22.0)

##### Improvements

##### Bug Fixes

##### Breaking changes

</details>

<details>
<summary>pulumi/pulumi (github.com/pulumi/pulumi/pkg/v3)</summary>

###
[`v3.220.0`](https://redirect.github.com/pulumi/pulumi/releases/tag/v3.220.0)

[Compare
Source](https://redirect.github.com/pulumi/pulumi/compare/v3.219.0...v3.220.0)

##### 3.220.0 (2026-02-10)

##### Features

- \[cli] Show environment variables that were set if a snapshot
integrity error happens
[#&#8203;21709](https://redirect.github.com/pulumi/pulumi/pull/21709)

- \[cli/{install,package}] Use the Pulumi Cloud Registry by default to
resolve package names

-   \[engine] Pass replacement trigger through to Construct
[#&#8203;21408](https://redirect.github.com/pulumi/pulumi/pull/21408)

- \[engine] Add EnvVarMappings resource option for provider resources,
allowing environment variables to be remapped before being passed to the
provider
[#&#8203;21572](https://redirect.github.com/pulumi/pulumi/pull/21572)

- \[pkg] BREAKING: Deprecate
github.com/pulumi/pulumi/pkg/v3/codegen/dotnet in favor of
github.com/pulumi/pulumi-dotnet/pulumi-language-dotnet/v3/codegen. This
package will be removed from pulumi/pulumi soon!
[#&#8203;21720](https://redirect.github.com/pulumi/pulumi/pull/21720)

##### Bug Fixes

- \[cli] Retry `yarn install` when it fails (e.g. during `pulumi
install`)
[#&#8203;21707](https://redirect.github.com/pulumi/pulumi/pull/21707)

-   \[engine] Deal with errors in elided journal entries correctly
[#&#8203;21576](https://redirect.github.com/pulumi/pulumi/pull/21576)

- \[sdk/nodejs] Fix remote components with
PULUMI_NODEJS_SKIP_COMPONENT_INPUTS

- \[sdk/python] Fix `_LazyModule` to not trigger full module load for
introspection attributes
[#&#8203;21620](https://redirect.github.com/pulumi/pulumi/pull/21620)

- \[sdkgen/python] Remove workaround for slow typechecking with MyPy and
PyCharm
[#&#8203;21722](https://redirect.github.com/pulumi/pulumi/pull/21722)

##### Miscellaneous

- \[cli] Write logfile location if verbosity is >= 1 to stderr instead
of stdout
[#&#8203;21663](https://redirect.github.com/pulumi/pulumi/pull/21663)

</details>

---

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---

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go.mod

@@ -14,10 +14,11 @@ require (
 	github.com/muesli/reflow v0.3.0
 	github.com/otiai10/copy v1.14.0
 	github.com/pulumi/providertest v0.6.0
+	github.com/pulumi/pulumi-dotnet/pulumi-language-dotnet/v3 v3.101.0
 	github.com/pulumi/pulumi-go-provider v1.3.0
 	github.com/pulumi/pulumi-java/pkg v1.16.0
-	github.com/pulumi/pulumi/pkg/v3 v3.219.0
-	github.com/pulumi/pulumi/sdk/v3 v3.219.0
+	github.com/pulumi/pulumi/pkg/v3 v3.220.0
+	github.com/pulumi/pulumi/sdk/v3 v3.220.0
 	github.com/regclient/regclient v0.7.1
 	github.com/sirupsen/logrus v1.9.3
 	github.com/spf13/afero v1.14.0
@@ -225,7 +226,7 @@ require (
 	github.com/prometheus/common v0.55.0 // indirect
 	github.com/prometheus/procfs v0.15.1 // indirect
 	github.com/pulumi/appdash v0.0.0-20231130102222-75f619a67231 // indirect
-	github.com/pulumi/esc v0.21.0 // indirect
+	github.com/pulumi/esc v0.22.0 // indirect
 	github.com/pulumi/inflector v0.2.1 // indirect
 	github.com/rivo/uniseg v0.4.7 // indirect
 	github.com/rogpeppe/go-internal v1.14.1 // indirect