コピペです。

settings.gradle.kts

pluginManagement {
    repositories {
        google {
            content {
                includeGroupByRegex("com\\.android.*")
                includeGroupByRegex("com\\.google.*")
                includeGroupByRegex("androidx.*")
            }
        }
        mavenCentral()
        gradlePluginPortal()
    }
    // 追加
    resolutionStrategy {
        eachPlugin {
            if (requested.id.id == "com.google.android.gms.oss-licenses-plugin") {
                useModule("com.google.android.gms:oss-licenses-plugin:${requested.version}")
            }
        }
    }
}
dependencyResolutionManagement {
    repositoriesMode.set(RepositoriesMode.FAIL_ON_PROJECT_REPOS)
    repositories {
        google()
        mavenCentral()
    }
}

rootProject.name = "AppName"
include(":app")

libs.versions.toml

[versions]

ossLicensesPlugin = "0.10.5"
ossLicense = "17.0.1"

[libraries]
oss-licenses = { group = "com.google.android.gms", name = "play-services-oss-licenses", version.ref = "ossLicense" }


[plugins]
oss-licenses-plugin = { id = "com.google.android.gms.oss-licenses-plugin", version.ref = "ossLicensesPlugin" }

build.gradle.kts(Root)

plugins {
    alias(libs.plugins.oss.licenses.plugin) apply false
}

build.gradle.kts(:app)

plugins {
    alias(libs.plugins.oss.licenses.plugin)
}


dependencies {
    implementation(libs.oss.licenses)
}

styleを設定しないとライセンス表示時にクラッシュする。

AndroidManifest.xml

<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools">

    <application>

        <!-- 追加 -->
        <activity android:name="com.google.android.gms.oss.licenses.OssLicensesMenuActivity"
            android:theme="@style/Theme.AppCompat.Light.NoActionBar" />
        <activity android:name="com.google.android.gms.oss.licenses.OssLicensesActivity"
            android:theme="@style/Theme.AppCompat.Light.NoActionBar" />
    </application>

</manifest>

Jetpack Composeでの使い方

val context = LocalContext.current
Button(onClick = {
    context.startActivity(Intent(context, OssLicensesMenuActivity::class.java))
}) {
    Text("Click")
}