inu wo turete ikeru kafe wo mituketa node, kondo tomodati to ikitai desu.

They mark two different objects in two different parts of the sentence.

• 犬を連れて行ける = can take a dog along
  • Here, 犬を is the thing being taken.
• カフェを見つけた = found a café
  • Here, カフェを is the thing that was found.

So the sentence is built like this:

• [犬を連れて行ける] カフェ = a café where I can take a dog
• [その] カフェを見つけたので = because I found that café

It may feel crowded in English, but in Japanese this is very normal.

This is a very common Japanese structure: a clause comes before a noun to describe it.

So:

• 犬を連れて行ける = can take a dog there
• カフェ = café

Put together:

• 犬を連れて行けるカフェ = a café that I can take a dog to

In English, we often use a relative clause with that, which, or where.
In Japanese, you usually just put the describing clause directly before the noun.

Other examples:

• 日本語を勉強している学生 = a student who is studying Japanese
• 昨日買った本 = the book I bought yesterday

So 犬を連れて行けるカフェ is literally something like dog-can-take-along café, but naturally it means a café where I can bring my dog.

Because 行ける by itself just means can go.
It does not include the idea of bringing someone/something along.

• 行く = go
• 連れて行く = take someone/something along; bring someone/something with you
• 連れて行ける = can take someone/something along

So:

• 犬を行ける is wrong
• 犬を連れて行ける is correct

This is because 連れる means to take along / lead along, and together with 行く, it becomes the set expression 連れて行く.

Yes. 連れて is the て-form of 連れる.

• dictionary form: 連れる
• て-form: 連れて

In 連れて行く, the て-form links two verbs:

• 連れる = take along
• 行く = go

Together, 連れて行く acts like one expression meaning to take someone along / to bring someone somewhere.

Then that becomes potential:

• 連れて行く → 連れて行ける = can take along

So this is not just random verb chaining; it is a very common compound expression.

Both can express ability, but 行ける is shorter and more natural here.

• 連れて行けるカフェ = natural
• 連れて行くことができるカフェ = grammatically possible, but heavier and less conversational

Japanese often prefers the potential form when it is available:

• 食べられる rather than 食べることができる
• 行ける rather than 行くことができる

So 犬を連れて行けるカフェ sounds smooth and everyday.

ので means because or since, and it often sounds a bit softer and more explanatory than から.

• 見つけたので、今度友達と行きたいです。 = Because I found one, I want to go with my friend next time.

Compare:

• 見つけたから = more direct, more straightforward
• 見つけたので = slightly more polite, gentle, explanatory

In many situations, especially with です / ます style, ので sounds very natural.

This is completely normal in Japanese.

Inside a sentence, verbs often stay in plain form when they modify nouns or come before connectors like ので.

• 見つけたので = because [I] found
• final part: 行きたいです = polite ending

Japanese often mixes plain forms inside the sentence with a polite ending at the end.

So this pattern is very common:

• 昨日買った本です
• 時間がないので、帰ります
• 面白かったので、もう一度見たいです

Only the sentence ending needs to be polite if you are speaking politely.

Here, 今度 means something like next time, sometime soon, or on a future occasion.

In real usage, 今度 can be a little flexible depending on context:

• 今度行こう = Let’s go sometime soon / next time
• 今度の土曜日 = this coming Saturday

In your sentence:

• 今度友達と行きたいです means I want to go with my friend sometime soon / next time

It does not necessarily mean a specific scheduled date unless context makes that clear.

Here, と means with.

• 友達と行きたい = want to go with a friend / with friends

This と marks a companion.

Compare:

• 友達と話す = talk with a friend
• 家族と旅行する = travel with family

So in this sentence, 友達と tells you who the speaker wants to go together with.

It could be either, depending on context.

Japanese nouns usually do not show singular/plural clearly unless needed.

So 友達と行きたい could mean:

• I want to go with a friend
• I want to go with friends

If the speaker wants to be specific, they could add more information, but without context, either reading is possible.

It is not explicitly stated, but in context it is understood to be the speaker.

Japanese often omits subjects when they are obvious.

So:

• 犬を連れて行けるカフェを見つけた naturally means
• I found a café that I can take my dog to

Technically, Japanese does not force you to say I here, but the most natural interpretation is that the speaker is the one who can bring the dog.

Because the sentence wants to express bringing a dog along, not simply going with a dog.

• 犬と行く literally means go with a dog
• 犬を連れて行く means take a dog along / bring a dog

Both may be understandable in some contexts, but 犬を連れて行ける is more precise and more natural when talking about whether a place allows dogs.

It emphasizes that the dog is accompanying you because you bring it there.

たい expresses the speaker’s desire to do something.

• 行く = go
• 行きたい = want to go

Then です makes the sentence polite:

• 行きたいです = I want to go

A useful thing to remember is that たい attaches to the ます-stem of the verb:

• 行きます → stem 行き → 行きたい
• 食べます → stem 食べ → 食べたい

So here the ending simply means the speaker wants to go.

Yes, in many contexts that is a natural English translation.

Literally, 犬を連れて行けるカフェ means:

• a café where you can bring a dog

In smooth English, that often becomes:

• a dog-friendly café
• a café that allows dogs
• a café where I can bring my dog

Which translation is best depends on tone and context, but grammatically the Japanese phrase is more specifically about being able to take the dog there.