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Related Party Transactions - Transactions Between Related Parties (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Disclosure of transactions between related parties [line items] |  |  |
Purchases and charges from related parties | $ 135,079 | $ 132,177 | $ 114,592
Amounts owed to related parties, net | 374,622 | 354,324 | 331,997
Financing |  |  |
Disclosure of transactions between related parties [line items] |  |  |
Purchases and charges from related parties | 14,480 | 11,391 | 17,550
Amounts owed to related parties, net | 365,895 | 342,857 | 322,638
Cement |  |  |
Disclosure of transactions between related parties [line items] |  |  |
Purchases and charges from related parties | 103,300 | 107,122 | 84,193
Amounts owed to related parties, net | 3,168 | 6,281 | 4,604
Management fee |  |  |
Disclosure of transactions between related parties [line items] |  |  |
Purchases and charges from related parties | 14,463 | 11,043 | 9,555
Amounts owed to related parties, net | 4,217 | 3,659 | 3,283
Other goods and services |  |  |
Disclosure of transactions between related parties [line items] |  |  |
Purchases and charges from related parties | 2,836 | 2,621 | 3,294
Amounts owed to related parties, net | $ 1,342 | $ 1,527 | $ 1,472

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- Definition The amounts payable resulting from related party transactions. [Refer: Total for all related parties [member]] + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 24 -IssueDate 2024-01-01 -Paragraph 20 -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=24&code=ifrs-tx-2024-en-r&anchor=para_20&doctype=Standard -URIDate 2024-03-27 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Name IAS -Number 24 -IssueDate 2024-01-01 -Paragraph 18 -Subparagraph b -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=24&code=ifrs-tx-2024-en-r&anchor=para_18_b&doctype=Standard -URIDate 2024-03-27 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Line items represent concepts included in a table. These concepts are used to disclose reportable information associated with members defined in one or many axes of the table. + References No definition available. + Details
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- Definition The amount of goods purchased by the entity in related party transactions. [Refer: Total for all related parties [member]] + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Name IAS -Number 24 -IssueDate 2024-01-01 -Paragraph 21 -Subparagraph a -URI https://taxonomy.ifrs.org/xifrs-link?type=IAS&num=24&code=ifrs-tx-2024-en-r&anchor=para_21_a&doctype=Standard -URIDate 2024-03-27 + Details
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Namespace Prefix: | ifrs-full_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | srt_ProductOrServiceAxis=ttam_FinancingServicesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_ProductOrServiceAxis=ttam_CementMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_ProductOrServiceAxis=ttam_ManagementFeeMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_ProductOrServiceAxis=ttam_OtherGoodsAndServicesMember
Namespace Prefix: |
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Balance Type: |
Period Type: |