Sim: dá ao warforged uma ferramenta gratuita integrada em seu corpo e perícia (dupla proficiência) com essa ferramenta
Isso está claramente definido na descrição do recurso da ferramenta integrada Envoy warforged :
Choose one tool you’re proficient with. This tool is integrated into your body, and you double your proficiency bonus for any ability checks you make with it.
O recurso sozinho permite escolher uma única ferramenta com a qual você é proficiente; a ferramenta que você escolhe é então integrada ao corpo do seu personagem forjado.
Isso é reforçado pela seção correspondente do FAQ de Keith Baker no Guia do Wayfinder para Eberron :
An envoy warforged has an integrated tool that’s part of its body, and gains expertise with that tool. In the PHB, tool proficiencies provided by backgrounds include vehicles. So can I have a warforged with a built-in wagon?
All things require the approval of the DM. If your DM WANTS to let you have a warforged with a built in boat, that’s great. But the design intent is that this applies to the specifically identified tools listed on page 154 of the Player’s Handbook. This does not include mounts and vehicles, which are detailed on the following page (“vehicles” are on 154, but not detailed). So again, if you and your DM agree, go for it. But it is not the design intent.
Tinker’s tools weigh ten pounds! Can an envoy have a built in tinker’s tools? Or a full dragonchess set?
Certainly. The intention is that your warforged has a functioning version of this tool. This doesn’t mean that it in any way resembles the tools a human would use to perform the same task. A warforged with an integrated herbalism kit could literally have a garden built into its back, and pull out the herbs it needs when it needs them. Most important, consider that warforged are inherently magical creatures. They CAN physically alter their bodies (as shown by healing and integrated protection) and as shown by the spell prestidigitation it’s possible to create small, temporary objects through magic. So an integrated tool could be fully functional at all times—a warforged with smith’s tools has a hand that can function as a hammer. But it’s just as valid to say that the warforged does either perform a minor transformation to produce these tools or that it literally produces a temporary tool. Your integrated thieves tools could be lockpick fingers, but you could also study a lock and manufacture a key to fit it. Essentially, the FUNCTIONAL EFFECT is that the warforged always has a working version of this tool—but it’s up to you to decide exactly what that looks like.
A primeira pergunta citada menciona que a ferramenta é concedida pelo recurso e faz parte de seu corpo; Keith Baker, criador de Eberron e autor do Guia do Wayfinder para Eberron , não contradiz esta afirmação em sua resposta. A resposta para a segunda pergunta citada afirma explicitamente que a integração concede a habilidade de usar uma ferramenta específica à vontade - quer seja com o sabor da própria ferramenta sendo construída nos warforged, seja como o warforged tendo a capacidade de produzir aquela ferramenta específica. (para uso pessoal) à vontade.
Em suma, sim, concede ao warforged uma ferramenta gratuita. Se isso não ocorresse, não faria sentido pedir apenas a proficiência na ferramenta como um pré-requisito, em vez de exigir que você tivesse a ferramenta em si.