Fix broken kdoc-api links in kotlin.adoc

Fixes gh-28908

src/docs/asciidoc/languages/kotlin.adoc

@@ -211,7 +211,7 @@ the constructor parameters will be autowired by type:
 ----
 
 In order to allow a more declarative approach and cleaner syntax, Spring Framework provides
-a {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.context.support/-bean-definition-dsl/[Kotlin bean definition DSL]
+a {docs-spring-framework}/kdoc-api/spring-context/org.springframework.context.support/-bean-definition-dsl/index.html[Kotlin bean definition DSL]
 It declares an `ApplicationContextInitializer` through a clean declarative API,
 which lets you deal with profiles and `Environment` for customizing
 how beans are registered.
@@ -277,9 +277,9 @@ for more details and up-to-date information. See also the experimental Kofu DSL
 
 Spring Framework comes with a Kotlin router DSL available in 3 flavors:
 
-* WebMvc.fn DSL with {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.servlet.function/router.html[router { }]
-* WebFlux.fn <<web-reactive#webflux-fn, Reactive>> DSL with {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.server/router.html[router { }]
-* WebFlux.fn <<Coroutines>> DSL with {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.server/co-router.html[coRouter { }]
+* WebMvc.fn DSL with {docs-spring-framework}/kdoc-api/spring-webmvc/org.springframework.web.servlet.function/router.html[router { }]
+* WebFlux.fn <<web-reactive#webflux-fn, Reactive>> DSL with {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.server/router.html[router { }]
+* WebFlux.fn <<Coroutines>> DSL with {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.server/co-router.html[coRouter { }]
 
 These DSL let you write clean and idiomatic Kotlin code to build a `RouterFunction` instance as the following example shows:
 
@@ -410,10 +410,10 @@ Spring Framework provides support for Coroutines on the following scope:
 
 * https://kotlin.github.io/kotlinx.coroutines/kotlinx-coroutines-core/kotlinx.coroutines/-deferred/index.html[Deferred] and https://kotlin.github.io/kotlinx.coroutines/kotlinx-coroutines-core/kotlinx.coroutines.flow/-flow/index.html[Flow] return values support in Spring MVC and WebFlux annotated `@Controller`
 * Suspending function support in Spring MVC and WebFlux annotated `@Controller`
-* Extensions for WebFlux {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.client/index.html[client] and {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.server/index.html[server] functional API.
-* WebFlux.fn {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.server/co-router.html[coRouter { }] DSL
+* Extensions for WebFlux {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.client/index.html[client] and {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.server/index.html[server] functional API.
+* WebFlux.fn {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.server/co-router.html[coRouter { }] DSL
 * Suspending function and `Flow` support in RSocket `@MessageMapping` annotated methods
-* Extensions for {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.messaging.rsocket/index.html[`RSocketRequester`]
+* Extensions for {docs-spring-framework}/kdoc-api/spring-messaging/org.springframework.messaging.rsocket/index.html[`RSocketRequester`]
 
 === Dependencies
 
@@ -556,7 +556,7 @@ class CoroutinesViewController(banner: Banner) {
 
 === WebFlux.fn
 
-Here is an example of Coroutines router defined via the {docs-spring-framework}/kdoc-api/spring-framework/org.springframework.web.reactive.function.server/co-router.html[coRouter { }] DSL and related handlers.
+Here is an example of Coroutines router defined via the {docs-spring-framework}/kdoc-api/spring-webflux/org.springframework.web.reactive.function.server/co-router.html[coRouter { }] DSL and related handlers.
 
 [source,kotlin,indent=0]
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